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Generalized Calculus With Applications To Matter And Forces


Generalized Calculus With Applications To Matter And Forces
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Generalized Calculus With Applications To Matter And Forces


Generalized Calculus With Applications To Matter And Forces
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Author : Luis Manuel Braga de Costa Campos
language : en
Publisher: CRC Press
Release Date : 2014-04-18

Generalized Calculus With Applications To Matter And Forces written by Luis Manuel Braga de Costa Campos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-18 with Mathematics categories.


Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to genera



Generalized Calculus With Applications To Matter And Forces


Generalized Calculus With Applications To Matter And Forces
DOWNLOAD

Author : Luis Manuel Braga de Costa Campos
language : en
Publisher: CRC Press
Release Date : 2014-04-18

Generalized Calculus With Applications To Matter And Forces written by Luis Manuel Braga de Costa Campos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-18 with Mathematics categories.


Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to generalized functions: (1) as a nonuniform limit of a family of ordinary functions, and (2) as a functional over a set of test functions from which properties are inherited. The second approach is developed more extensively to encompass multidimensional generalized functions whose arguments are ordinary functions of several variables. As part of a series of books for engineers and scientists exploring advanced mathematics, Generalized Calculus with Applications to Matter and Forces presents generalized functions from an applied point of view, tackling problem classes such as: Gauss and Stokes’ theorems in the differential geometry, tensor calculus, and theory of potential fields Self-adjoint and non-self-adjoint problems for linear differential equations and nonlinear problems with large deformations Multipolar expansions and Green’s functions for elastic strings and bars, potential and rotational flow, electro- and magnetostatics, and more This third volume in the series Mathematics and Physics for Science and Technology is designed to complete the theory of functions and its application to potential fields, relating generalized functions to broader follow-on topics like differential equations. Featuring step-by-step examples with interpretations of results and discussions of assumptions and their consequences, Generalized Calculus with Applications to Matter and Forces enables readers to construct mathematical–physical models suited to new observations or novel engineering devices.



Linear Differential Equations And Oscillators


Linear Differential Equations And Oscillators
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Author : Luis Manuel Braga da Costa Campos
language : en
Publisher: CRC Press
Release Date : 2019-11-05

Linear Differential Equations And Oscillators written by Luis Manuel Braga da Costa Campos and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-05 with Mathematics categories.


Linear Differential Equations and Oscillators is the first book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This first book consists of chapters 1 and 2 of the fourth volume. The first chapter covers linear differential equations of any order whose unforced solution can be obtained from the roots of a characteristic polynomial, namely those: (i) with constant coefficients; (ii) with homogeneous power coefficients with the exponent equal to the order of derivation. The method of characteristic polynomials is also applied to (iii) linear finite difference equations of any order with constant coefficients. The unforced and forced solutions of (i,ii,iii) are examples of some general properties of ordinary differential equations. The second chapter applies the theory of the first chapter to linear second-order oscillators with one degree-of-freedom, such as the mechanical mass-damper-spring-force system and the electrical self-resistor-capacitor-battery circuit. In both cases are treated free undamped, damped, and amplified oscillations; also forced oscillations including beats, resonance, discrete and continuous spectra, and impulsive inputs. Describes general properties of differential and finite difference equations, with focus on linear equations and constant and some power coefficients Presents particular and general solutions for all cases of differential and finite difference equations Provides complete solutions for many cases of forcing including resonant cases Discusses applications to linear second-order mechanical and electrical oscillators with damping Provides solutions with forcing including resonance using the characteristic polynomial, Green' s functions, trigonometrical series, Fourier integrals and Laplace transforms



Generalized Functions


Generalized Functions
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Author : Ram P. Kanwal
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-07-23

Generalized Functions written by Ram P. Kanwal and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-23 with Mathematics categories.


Provides a more cohesive and sharply focused treatment of fundamental concepts and theoretical background material, with particular attention given to better delineating connections to varying applications Exposition driven by additional examples and exercises



Notes On The Principles Of Pure And Applied Calculation


Notes On The Principles Of Pure And Applied Calculation
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Author : James Challis
language : en
Publisher:
Release Date : 1869

Notes On The Principles Of Pure And Applied Calculation written by James Challis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1869 with Mathematical physics categories.




Generalized Fractional Order Differential Equations Arising In Physical Models


Generalized Fractional Order Differential Equations Arising In Physical Models
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Author : Santanu Saha Ray
language : en
Publisher: CRC Press
Release Date : 2018-11-13

Generalized Fractional Order Differential Equations Arising In Physical Models written by Santanu Saha Ray and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-13 with Mathematics categories.


This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models.



General Catalog


General Catalog
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Author : University of Colorado (Boulder campus)
language : en
Publisher:
Release Date : 1954

General Catalog written by University of Colorado (Boulder campus) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Universities and colleges categories.




A Treatise On Universal Algebra


A Treatise On Universal Algebra
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Author : Alfred North Whitehead
language : en
Publisher:
Release Date : 1898

A Treatise On Universal Algebra written by Alfred North Whitehead and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1898 with Algebra categories.




Catalog


Catalog
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Author : University of Illinois (Urbana-Champaign campus). Chicago Undergraduate Division
language : en
Publisher:
Release Date : 1964

Catalog written by University of Illinois (Urbana-Champaign campus). Chicago Undergraduate Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with categories.




Fractals And Fractional Calculus In Continuum Mechanics


Fractals And Fractional Calculus In Continuum Mechanics
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Author : Alberto Carpinteri
language : en
Publisher: Springer
Release Date : 1997-12-11

Fractals And Fractional Calculus In Continuum Mechanics written by Alberto Carpinteri and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-12-11 with Computers categories.


The book is characterized by the illustration of cases of fractal, self-similar and multi-scale structures taken from the mechanics of solid and porous materials, which have a technical interest. In addition, an accessible and self-consistent treatment of the mathematical technique of fractional calculus is provided, avoiding useless complications.